INFLUENCE OF ELECTRICAL CONDITION 115 



and univalent ions respectively should have equal coagulative 

 powers, the frequency with which the necessary conjunctions 

 should occur must be the same in each solution. We should 

 then have, the constant being assumed equal in each case, 



A^^Cs^" = A^^Ca^'* = A6"Ci«« = a constant = B. 



Therefore 



j_ ji_ j_ 



B'\ ^ _B'\ _B«" 



C3--^, C2--^, Ci-^, 



Ci, C2, C3, representing the concentrations of monads, diads, 

 and triads in their respective solutions. Thus we get for the 

 ratios of the concentrations of equi-coagulative solutions: 



j_ j_ j_ j_ j_ 



Ci : C2 : C3 = 5«« : B^- : B^" = 1 : B'^ : B^\ 



i- 1 

 Let us put B^" = -', the ratios can then be written: 



•4/ 



X x^ 



The reciprocals of the numbers expressing the relative concen- 

 trations of equi-coagulative solutions give values proportional to 

 the coagulative-powers of solutions of equal concentration; so 

 that, calling the coagulative-powers of equivalent solutions con- 

 taining monovalent, divalent, and trivalent ions respectively, pi, 



P2, Ps, we get: 



Pi: Vi.'- Ps = 1: a:: x^. 



Let us now take some numerical examples. 

 Putting X = 32 we get the series : 



1:32:1024. 



Which agrees very well with Linder and Picton's results for 

 colloidal solutions of antimony sulphide : 



1:35:1023; 



and putting x = 40, we get 



1:40:1600, 



numbers comparable to Schultze's values for sulphide of arsenic" 

 (79). 



